3467904000 has 352 divisors, whose sum is σ = 12599563392. Its totient is φ = 839680000.

The previous prime is 3467903953. The next prime is 3467904007. The reversal of 3467904000 is 4097643.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3467904007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4223590 + ... + 4224410.

Almost surely, 2^3467904000 is an apocalyptic number.

3467904000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3467904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299781696).

3467904000 is an abundant number, since it is smaller than the sum of its proper divisors (9131659392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3467904000 is a wasteful number, since it uses less digits than its factorization.

3467904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3467904000 is about 58888.9123689681. The cubic root of 3467904000 is about 1513.6391618430.

The spelling of 3467904000 in words is "three billion, four hundred sixty-seven million, nine hundred four thousand".